README.md

# ME5180 - Dynamics

## Examples of Numerical Analysis in Dynamics

### 0- Intro to Matlab and Numerical integration

Matlab-and [Octave](https://www.gnu.org/software/octave/)-review of syntax and numerical integration techniques. In particular, Euler's method and the ode-integration routines ode23 and ode45, Runge-Kutta integration methods. 

[Intro to Matlab and Numerical Integration](./intro_to_numerical_integration.ipynb)

### 1- Double Pendulum Kinematics

[double_pendulum.m](./double_pendulum.m) has a script to plot the velocity over time and
create an animation of the link positions. [double_pendulum.ipynb](double_pendulum.ipynb)
shows the output of the code. 

### 2- Rotating Pendulum Equations of motion

![Rotating pendulum diagram](./figures/rotating_pendulum.svg)

A pendulum is fixed to a rotating L-bracket, the solution to the rotating system is given
in [rotating pendulum solution](./rotating_pendulum.ipynb)

![$\omega$=1 rad/s](./figures/animation_rotating_pendulum/w_1_anim.gif)

![$\omega$=5 rad/s](./figures/animation_rotating_pendulum/w_5_anim.gif)